Alicia and sarah are at the supermarket. alicia wants to get peanuts from the bulk food bins and sarah wants to get almonds. the almonds cost $6.50 per pound and the peanuts cost $3.50 per pound. together they buy 1.5 pounds of nuts. if the total cost is $6.75, how much did each girl get?

0.5 pound of almonds for Sarah 1 pound of peanuts for Alicia Write some equations to express what we know 6.75 = 6.5A + 3.5P P = 1.5 - A So substitute 1.5-A for P, giving 6.75 = 6.5A + 3.5P 6.75 = 6.5A + 3.5(1.5-A) Solve for A 6.75 = 6.5A + 3.5(1.5-A) 6.75 = 6.5A + 5.25 - 3.5A 6.75 = 3A + 5.25 1.5 = 3A 0.5 = A So they got 0.5 pound of almonds and 1.5 - 0.5 = 1 pound of peanuts

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